The length of a rectangle is 5 yd less than twice the width, and the area of the rectangle is 33 yd?. Find the dimensions of the rectangle.

Step-by-step explanation:

L=2W-5

A=LW, using L from above gives you

A=(2W-5)W

A=2W^2-5W

2W^2-5W-A=0, since A=33yd^2

2W^2-5W-33=0

2W^2+6W-11W-33=0

2W(W+3)-11(W+3)=0

(2W-11)(W+3)=0, since W>0

W=11/2

W=5.5yd, since L=2W-5

L=6yd

So the dimensions are W by L, 5.5yd by 6yd

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98